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Syllogism Worksheet

Logical reasoning lesson 21: Syllogisms · Set 200 · 40 questions
TalentJR

How to think it through (Try to break it): Draw a circle for each word. “All A are B”: A inside B. “No A are B”: apart. “Some A are B”: overlapping. Try to draw the circles so the conclusion is false while every statement stays true. If you cannot, the conclusion follows (Yes). If you can, it does not definitely follow (No).

NameDateTime takenScore ___ / 40
  1. 1.Statements: All books are toys. Some toys are shoes. Conclusion: No books are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  2. 2.Statements: All cups are toys. No cups are pens. Conclusion: Some pens are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  3. 3.Statements: No rings are toys. Some toys are kites. Conclusion: Some rings are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  4. 4.Statements: No rings are keys. All rings are boxes. Conclusion: All keys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  5. 5.Statements: No cups are shoes. Some cups are toys. Conclusion: No shoes are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  6. 6.Statements: No kites are cups. No boxes are kites. Conclusion: No boxes are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  7. 7.Statements: All books are toys. No toys are pens. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  8. 8.Statements: No rings are pens. No rings are keys. Conclusion: No pens are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  9. 9.Statements: Some rings are bags. Some toys are bags. Conclusion: No rings are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  10. 10.Statements: No cups are balls. Some toys are cups. Conclusion: All balls are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  11. 11.Statements: Some bags are boxes. All bags are books. Conclusion: No boxes are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  12. 12.Statements: Some rings are caps. Some rings are bells. Conclusion: All bells are caps. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  13. 13.Statements: All shoes are balls. No shoes are coins. Conclusion: No balls are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  14. 14.Statements: No keys are kites. All keys are pens. Conclusion: All kites are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  15. 15.Statements: All pens are caps. Some rings are caps. Conclusion: All rings are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  16. 16.Statements: No toys are bags. All toys are pens. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  17. 17.Statements: Some balls are pens. All cups are balls. Conclusion: All pens are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  18. 18.Statements: All boxes are coins. No coins are pens. Conclusion: No pens are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  19. 19.Statements: All cups are coins. All kites are cups. Conclusion: No kites are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  20. 20.Statements: All bags are rings. All bags are keys. Conclusion: Some keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  21. 21.Statements: All keys are bells. All bells are rings. Conclusion: All keys are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  22. 22.Statements: All cups are balls. Some cups are pens. Conclusion: No balls are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  23. 23.Statements: All books are rings. No rings are toys. Conclusion: No toys are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  24. 24.Statements: Some pens are kites. All rings are pens. Conclusion: No kites are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  25. 25.Statements: Some toys are pens. No pens are coins. Conclusion: No coins are toys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  26. 26.Statements: All cups are pens. All bags are cups. Conclusion: All pens are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  27. 27.Statements: All bells are kites. No kites are coins. Conclusion: No bells are coins. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  28. 28.Statements: Some coins are shoes. All coins are bells. Conclusion: Some shoes are bells. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  29. 29.Statements: Some books are shoes. All books are kites. Conclusion: Some kites are shoes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  30. 30.Statements: All boxes are shoes. Some boxes are bags. Conclusion: Some shoes are bags. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  31. 31.Statements: Some cups are toys. No toys are coins. Conclusion: No coins are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  32. 32.Statements: All boxes are kites. All kites are toys. Conclusion: No toys are boxes. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  33. 33.Statements: All shoes are caps. All pens are shoes. Conclusion: Some caps are pens. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  34. 34.Statements: All keys are books. All books are caps. Conclusion: Some caps are keys. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  35. 35.Statements: Some pens are coins. All coins are books. Conclusion: No pens are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  36. 36.Statements: All pens are bells. Some rings are bells. Conclusion: No pens are rings. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  37. 37.Statements: All books are pens. All pens are balls. Conclusion: Some books are balls. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  38. 38.Statements: All pens are books. Some coins are pens. Conclusion: Some coins are books. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  39. 39.Statements: Some boxes are keys. All kites are boxes. Conclusion: Some keys are kites. Does the conclusion definitely follow from the statements? (a) Yes (b) No
  40. 40.Statements: No bells are bags. Some bells are cups. Conclusion: Some bags are cups. Does the conclusion definitely follow from the statements? (a) Yes (b) No

Answer key

  1. No
  2. No
  3. No
  4. No
  5. No
  6. No
  7. Yes
  8. No
  9. No
  10. No
  11. No
  12. No
  13. No
  14. No
  15. No
  16. No
  17. No
  18. Yes
  19. No
  20. Yes
  21. Yes
  22. No
  23. Yes
  24. No
  25. No
  26. No
  27. Yes
  28. Yes
  29. Yes
  30. Yes
  31. No
  32. No
  33. Yes
  34. Yes
  35. No
  36. No
  37. Yes
  38. Yes
  39. No
  40. No

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